## Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 2 - Solving Equations - 2-3 Solving Multi-Step Equations - Practice and Problem-Solving Exercises - Page 98: 35

b=56 5/8

#### Work Step by Step

We start by creating a common denominator for all of the fractions: $\frac{8b}{24}+\frac{3}{24}=\frac{456}{24}$ We now can combine the denominators on the same side of the equation: $\frac{8b+3}{24}=\frac{456}{24}$ We then multiply both sides by 24 to find: $8b+3=456$ We subtract 3 and then divide by 8 to obtain that b=56 5/8 We plug 56 5/8 in for b and confirm that our answer is, indeed, correct.

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